ArticleJournal of mathematical neuroscience2011
Diffusion laws in dendritic spines.
Article in Journal of mathematical neuroscience, 2011. The graph could read no effect estimate from its abstract, so it casts no vote on the map. Cited by 23 papers.
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Who cites it
23 citing papers in PubMed, 48 citations in OpenAlex.
- Calcium dynamics in small spaces: Lessons learned from modeling in dendritic spines.Biophysical journal · 2025Review
- How energy determines spatial localisation and copy number of molecules in neurons.Nature communications · 2025Article
- Control of CaGlia · 2022Article
- Post-Synapses in the Brain: Role of Dendritic and Spine Structures.Biomedicines · 2022Review
- Voltage compartmentalization in dendritic spines in vivo.Science (New York, N.Y.) · 2022Article
- Nanoscale molecular architecture controls calcium diffusion and ER replenishment in dendritic spines.Science advances · 2021Article
- The role of molecular diffusion within dendritic spines in synaptic function.The Journal of general physiology · 2021Review
- Geometric Control of Frequency Modulation of cAMP Oscillations due to Calcium in Dendritic Spines.Biophysical journal · 2019Article
- Article
- Probing the Interplay between Dendritic Spine Morphology and Membrane-Bound Diffusion.Biophysical journal · 2017Article
- Analysis of diffusion in curved surfaces and its application to tubular membranes.Molecular biology of the cell · 2016Article
- Spines slow down dendritic chloride diffusion and affect short-term ionic plasticity of GABAergic inhibition.Scientific reports · 2016Article
- The new nanophysiology: regulation of ionic flow in neuronal subcompartments.Nature reviews. Neuroscience · 2015Review
- Residence times of receptors in dendritic spines analyzed by stochastic simulations in empirical domains.Biophysical journal · 2014Article
- The role of dendritic spine morphology in the compartmentalization and delivery of surface receptors.Journal of computational neuroscience · 2014Article
- Input transformation by dendritic spines of pyramidal neurons.Frontiers in neuroanatomy · 2014Review
- Barriers in the brain: resolving dendritic spine morphology and compartmentalization.Frontiers in neuroanatomy · 2014Review
- Super-resolution 2-photon microscopy reveals that the morphology of each dendritic spine correlates with diffusive but not synaptic properties.Frontiers in neuroanatomy · 2014Article
- Shape-induced asymmetric diffusion in dendritic spines allows efficient synaptic AMPA receptor trapping.Biophysical journal · 2013Article
- Chronic alcohol alters dendritic spine development in neurons in primary culture.Neurotoxicity research · 2013Article
Corrections and comments
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Authors and funding
2 authors at 2 institutions in 2 countries.
Funding
No grant is acknowledged in the PubMed record.
Abstract
Dendritic spines are small protrusions on a neuronal dendrite that are the main locus of excitatory synaptic connections. Although their geometry is variable over time and along the dendrite, they typically consist of a relatively large head connected to the dendritic shaft by a narrow cylindrical neck. The surface of the head is connected smoothly by a funnel or non-smoothly to the narrow neck, whose end absorbs the particles at the dendrite. We demonstrate here how the geometry of the neuronal spine can control diffusion and ultimately synaptic processes. We show that the mean residence time of a Brownian particle, such as an ion or molecule inside the spine, and of a receptor on its membrane, prior to absorption at the dendritic shaft depends strongly on the curvature of the connection of the spine head to the neck and on the neck's length. The analytical results solve the narrow escape problem for domains with long narrow necks.
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Registered trials
Read under generation 80e0d062 · epoch 390. Bibliography from PubMed, PubMed Central and OpenAlex; grants from NIH RePORTER; trial links from ClinicalTrials.gov; estimates, votes and beliefs from the OpenQuestion graph.